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Math Help - integration problem

  1. #1
    Super Member
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    integration problem


    Find the value of c for which

     \int^1_0 x^3sinh(cx) dx = 1

    I have no idead on how to work this out
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  2. #2
    MHF Contributor

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    Re: integration problem

    You have a product of two functions so the first thing I would think of is "itegration by parts" which is the reverse of the "product rule" for derivatives.

    Let u= x^3 and dv= sinh(cx)dx so that du= 3x^2dx and v= \frac{1}{c}cosh(cx).

    Do you see how the degree of x has been reduced? Now do that two more times.
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